From: Thomas Streicher <streicher@mathematik.tu-darmstadt.de>
To: Olivia Caramello <oc233@hermes.cam.ac.uk>
Cc: "'Eduardo J. Dubuc'" <edubuc@dm.uba.ar>,
"'Categories list'" <categories@mta.ca>
Subject: Re: disjoint_coproducts_?
Date: Thu, 25 Jul 2013 13:33:52 +0200 [thread overview]
Message-ID: <20130725113352.GB10626@mathematik.tu-darmstadt.de> (raw)
In-Reply-To: <E1V2JNN-0002fR-3o@mlist.mta.ca>
> Your statement is valid internally in SS, that is once formalized in the
> internal language of the topos SS; this can be done in geometric logic, by
> considering a (possibly infinitary) disjunction over all the arrows f: C
> ---> X for C in CC (interpreted by the arrows Ff in SS) and existential
> quantifications. If you want a statement valid 'externally', you should
> instead use generalized elements in SS and epimorphic families involving
> their domains.
Since CC is internal to SS which is assumed as different from Set it
doesn't make sense to consider an infinite disjunction over all arrows
f: C --> X for C in CC.
Thomas
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
prev parent reply other threads:[~2013-07-25 11:33 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2013-07-23 22:45 disjoint_coproducts_? Eduardo J. Dubuc
2013-07-24 11:04 ` R: disjoint_coproducts_? Olivia Caramello
2013-07-25 11:33 ` Thomas Streicher [this message]
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